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Finding the Fourth Proportional to 201,713.72, 278,402.26 and 116,830.76

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Solution

The fourth proportional to 201,713.72, 278,402.26 and 116,830.76 is: 161,248.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,713.72 : 278,402.26 = 116,830.76 : x
  2. Step 2: Convert to fraction form
    201,713.72/278,402.26 = 116,830.76/x
  3. Step 3: Cross multiply
    201,713.72x = 278,402.26 × 116,830.76
  4. Step 4: Simplify right side
    201,713.72x = 32,525,947,621.52
  5. Step 5: Solve for x
    x = 32,525,947,621.52/201,713.72
  6. Step 6: Final answer
    x = 161,248.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.